The corresponding angles in both cases are the same. With congruent triangles, the lengths of the corresponding sides are also equal.
Their corresponding angles are equal, or the ratio of the lengths of their corresponding sides is the same.
The 3 sides have different lengths
Assuming you are already sure that the two objects are, indeed, similar: You measure corresponding lengths of the two objects, and divide.You measure the lengths of a pair of corresponding sides. The scale factor is the ratio of the two measures.
The ratio of the lengths of their corresponding sides.
It is a statement about the relationship of the lengths of corresponding sides of some unspecified figures.
It is a statement about the relationship of the lengths of corresponding sides of some unspecified figures.
It is a statement about the relationship of the lengths of corresponding sides of some unspecified figures.
The corresponding angles in both cases are the same. With congruent triangles, the lengths of the corresponding sides are also equal.
Scale factor.
Corresponding sides of similar figures are proportional.
Their corresponding angles are equal, or the ratio of the lengths of their corresponding sides is the same.
They are the same for pairs of corresponding sides.
1:1
The 3 sides have different lengths
Triangles are congruent if they have the same size and shape, meaning their corresponding sides and angles are equal.
You either show that the corresponding angles are equal or that the lengths of corresponding sides are in the same ratio.